Questions compiled from Florida FOCUS

Transcription

1 Standard 1: M912.G What is the coordinate of the idpoint of? (1, 1) ( 1, 1) (6, 3) ( 6, 3) Standard 1: M912.G If s is parallel to t and a is parallel to b, which of the following is NOT true? = = = = 180 Standard 2: M912.G Martina wants to create a quilt by sewing together individual polygons. Her favorite polygon is an octagon. Will Martina be able to tessellate the plane with a regular octagon to ake a quilt? No. Martina cannot tessellate a plane with any polygon with ore than 6 sides. Yes. The su of the interior angles is This is a ultiple of 360, so Martina can tessellate the plane with a regular octagon. Yes. The interior angle of a regular octagon easures 180. This is a factor of 360, so Martina can tessellate the plane with a regular octagon. No. The interior angle of a regular octagon easures 135. This is not a factor of 360, so Martina cannot tessellate the plane with a regular octagon. Page 1 of 7

2 Standard 2: M912.G Find the value of 5x in the pentagon below Standard 2: M912.G An observer standing near a shoreline sees a ship. Given the easureents shown in the figure, how far is the ship fro the shoreline, to the nearest eter? 139 eters 150 eters 174 eters 189 eters Standard 3: M912.G Which stateent is FALSE? Every square is a rhobus. All rectangles are parallelogras. The diagonals of all parallelogras bisect each other. Every property of a square is also a property of a parallelogra. Page 2 of 7

3 Standard 2: M912.G Find the value that is closest to the area of the regular hexagon in the figure below with radius 6 c Standard 2: M912.T The figure below shows a quarter circle graphed in the first quadrant that contains AO What is the value of x, the easure of AOB, to the nearest degree. Standard 6: M Which of the following is the contrapositive of the following stateent? "If an anial is a dog, then the anial has four legs." If an anial has four legs, then the anial is a dog. If an anial is a dog, then the anial does NOT have four legs. If an anial does NOT have four legs, then the anial is NOT a dog. If an anial is NOT a dog, then the anial does NOT have four legs. Page 3 of 7

4 Standard 3: M912.G On the coordinate plane below, quadrilateral ABCD has vertices with integer coordinates. Quadrilateral WXYZ is congruent to quadrilateral ABC Which of the following could be possible coordinates for point Y? ( 3, 2) ( 3, 8) ( 6, 1) ( 6, 11) Standard 5: M912.G Juan, who is 5 feet tall, wants to deterine the distance fro the top of his head to the end of his shadow. If Juan's shadow is 12 feet long, how far away is the end of his shadow fro the top of his head? 2.4 feet 13 feet 17 feet 60 feet Standard 7: M912.G How any edges does an octahedron have? Page 4 of 7

5 Standard 4: M912.G Given the figure below, which of the following could be the length of? Standard 4: M912.G.4.6: First Assessent 14. Mary is asked to prove that is congruent to in the figure. She writes the following proof: Step 1: is congruent to because that inforation is given in the figure. Step 2: is perpendicular to because that inforation is given in the figure. Step 3: is congruent to by the reflexive property. Step 4: ADB and CDB are right angles because perpendicular lines eet to for right angles. Step 5: ADB is congruent to CDB because all right angles are congruent. Step 6: Step 7: By CPCTC, is congruent to. Which of the following answer choices is correct for Step 6? ΔABD is congruent to ΔCBD by SSS. ΔABD is congruent to ΔCBD by SAS. ΔABD is congruent to ΔCBD by AAS. ΔABD is congruent to ΔCBD by ASA Page 5 of 7

6 Standard 6: M912.G Martinique's garden looks like two intersecting circles. One circle has a radius of 6 feet and the other has a radius of 4 feet. The diagra below shows the garden with a path around the edge. Martinique walks along the path to adire her garden daily. If she does one rotation along the path, approxiately how any feet has she walked? 15 feet 47 feet 63 feet 124 feet Standard 6: M912.G Circle E has center E (1.6, 2.4) and a radius of 4 units. Which of the following equations defines circle E? Standard 7: M912.G.7.5: First Assessent 17. Jacob has two rectangular sheets of etal that easure 10 centieters (c) by 20 c. He fored Box A by cutting a 3 c square fro each corner of the etal sheet and folding up the flaps to for a rectangular pris with an open top. Jacob then fored Box B by cutting a 1 c square fro each corner of the other sheet of etal and folding up the flaps to for another rectangular pris with an open top. What is the difference in the volues, in cubic centieters, of Box A and Box B? Page 6 of 7

7 Standard 7: M912.G Jasper has a soup can in the shape of a right circular cylinder. The height of the soup can is 3 inches. He doubles the diaeter of the soup can. Which of the following stateents is true? The volue of the new soup can is two ties the volue of the original can. The volue of the new soup can is four ties the volue of the original can. The volue of the new soup can is six ties the volue of the original can. The volue of the new soup can is eight ties the volue of the original can. Standard 8: M912.G Maria inscribed ΔABC in a circle. Which of the following stateents will prove that ΔABC is a right triangle? BAC is acute. ACB is obtuse. AB = 3, AC = 5 Arc ABC is a seicircle Page 7 of 7